Liam buys three identical plastic
containers that are right rectangular
prisms. one face of each container
measures 4 and 1/2 in. by 2 in. the total
volume of the three containers is
135 in.. how many of these containers
can liam set on a shelf that is 24 in. long
with the 4and 1/2in-by-2 in. faces touching?

Answers

Answer 1

The number of rectangular prism container that would be set on the shelf is: 4.

What is the Volume of a Rectangular Prism?

Volume of rectangular prism = length × width ×height

Given the following:

Volume of three containers = 135 in.³Volume of each rectangular prism container = 135/3 = 45 in.³One face = width × height = 4.5 × 2 = 9 in.

Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³

45 = length × 9

length = 5 in.

Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.

The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.

Learn more about rectangular prism on:

https://brainly.com/question/1015291


Related Questions

A penny is tossed and a number cube is rolled. determine each probability.
you must answer the problem with at least 3 sentences.
what number is the probability of landing on tails and the number 5?
p(tails,5) =

Answers

Answer:

25% chance

Step-by-step explanation:

Because a penny has two sides that is 50 percent and a cube 6 sides that's 16 percent. then you subtract 16 from 50 to get a 34 percent chance of probably.

PLEASE READ THE PICTURE
Let g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!

Answers

f(x)
-5¾-3-4 that correct

WHOEVER RESPONDS FIRST WILL BE MARKED BEST.
A circular rug has a diameter of 12 feet. What is the area, in square feet , of the rug rounded to the nearest hundredth? Use 3.14 for it

Answers

Answer:

113.04 ft^2

Step-by-step explanation:

area of circle formula = [tex]\pi r^{2}[/tex]

in this case, we are taking π as 3.14, so it is 3.14 x [tex]r^{2}[/tex]

Radius = half of diameter

radius = 12 / 2 = 6

[tex]6^{2}[/tex] = 36 (because 6 x 6 = 36)

3.14 x 36 = 113.04

Therefore, our answer is 113.04 ft squared (because it is area)

Hope this helps! If you have any further questions, let me know :)

- profparis

if i helped you, i would appreciate a brainliest :D

if the width of a rectangle with periemter is P is 6 units what is its length

write using algebra

Answers

Answer:

L = [tex]\frac{P - 12}{2}[/tex]

Step-by-step explanation:

Since perimeter is 2L + 2W, and width is 6, then P = 2L + 2*6, and solving for L gives you (P - 12)/2

Hopefully this helps- let me know if you have any questions!

Deandre Willis is single and owns a hair salon. He has calculated the following assets and liabilities. Find DeAndre‘s net worth.

ASSETS
- current value of the hair salon: $180,000
- current value of car: $12,500
- checking account balance: $1,300
- combined savings: $18,000
- balance in retirement account: $30,000
- current value of owned electronics: $20,000

LIABILITIES
- remaining balance on mortgage: $120,000
- remaining balance on personal loan: $4,600
- combined credit card debt: $23,000

Answers

Given the value of DeAndre‘s assets and liabilities, his net worth is $114,200.

What is the net worth?

Net worth is the value of the assets less the liabilities.

Net worth = assets - liabilities

Assets = $180,000 + $12,500 +  $1,300 + $18,000 + $30,000 + $20,000= $261,800

Liabilities = $120,000 + $4,600 + $23,000 = $147,600

Net worth = $261,800 -  $147,600 = $114,200

To learn more about liabilities, please check: https://brainly.com/question/26513242

Help this is due in 15 mins!

Answers

Answer:

Area of the rectangle = 20 square units

Area of left triangle = 8 square units

Area of right triangle = 6 square units

Area of whole figure = 34 square units

Step-by-step explanation:

Alright, area of a rectangle is Base · Height. The base of the rectangle is 5 units and the height is 4 units. 5 · 4 = 20 square units.

Area of a triangle is (Base · Height)/2. The triangle on the left is 4 units tall and 4 units wide. 4 · 4 ÷ 2 = 8 square units.

The triangle on the right is 4 units tall and 3 units wide. 4 · 3 ÷ 2 = 6 square units.

To get the area of the whole figure, you can just add the area of all three shapes. 20 + 8 + 6 = 34 square units.

Hope this helps! :)

Answer:

Rectangle's area;

Length: 4

Width: 5

Formula for area of rectangle;

A = L*W

Replace values:-

A = 4(5)

A = 20.

Left triangle's area;

Base = 4

Height: 4

Formula for area of triangle;

A = BH x 1/2

Replace values:-

A = 4(4) x 1/2

A = 16 x 1/2

A = 16/2

A = 8.

Right triangle's area;

Base = 3

Height: 4

Formula for area of triangle:

A = BH x 1/2

Replace values:-

A = 3(4) x 1/2

A = 12 x 1/2

A = 12/2

A = 6.

Add all the areas we've found so far to get the figure's total area:

20 + 8 + 6

= 34.

Find the value of x.?

Answers

Your answer is ≈ 19

Step-by-step explanation:

180 - 124 = 56

56 / 3 = 18.66666666666667

18.66666666666667 round it up...…

19

X = 19

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Please help I am not understanding

Answers

Answer:

12.39cm

Step-by-step explanation:

cos 25°=AB/12.5

AB=12.5 cos 25°

cos 25°=0.9912

AB=12.5×0.9912

=12.39cm


A construction company takes
1/6 hours to remove 1/2
metric tons of dirt from a construction site.

What is the unit rate in metric tons per hour?
Write your answer in simplest form.

Answers

Answer:

3 tons per hour

Step-by-step explanation:

Since 0.5=1/6

you can multiply 0.5 by 6:

0.5x6= 3

With an ending result of 3 tons per hour

5. For all real values of x such that -1 < x < 0, which of the following
expressions has the greatest value? *

Answers

Answer:

x<0

Step-by-step explanation:

-1<0 is greater

hope this helps your question

A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.

Answers

The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.

How many hours would it for the bacteria count to grow from 75 to 120?

The first step is to determine the rate of increase of the bacteria. The formula that can be used is:

g = (FV / PV)^(1/n) - 1

Where:

FV = 75PV = 40 n = 3 hours

(75/40)^(1/3) - 1 = 23.3%

The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:

Number of hours =  (IN FV / PV) / r

(IN 120/75) / 0.233 = 2 hours

To learn more about time, please check: https://brainly.com/question/21841217

What is question c in the question?

Answers

Answer:

y = [tex]4^{10}[/tex]

or

y = 1048576

Step-by-step explanation:

Function:

y = [tex]q^{x}[/tex]

Given values:

q = 4

x = 10

Substitute the given values into the function:

y = [tex]4^{10}[/tex]

or

y = 1048576

hope this helps and is right!! p.s. i really need brainliest :)

What phrase is a description of 2m + 7

Answers

Answer: 7 more than 2 times a number

Step-by-step explanation:

To describe 2m it would by 2 times m since it is multiplication

When describing a variable simply call it a number

Now we have "2 times a number", but we still need to incorporate the +7

To represent +7 we can say "7 more" since that represents addition

So we end up with "7 more than 2 times a number"

Answer:

2 times m + 7

Step-by-step explanation:

2 is the coeficient

m is the y additive

2 Which set of side lengths will form a triangle?
16 ft, 4 ft, 21 ft.
6 30 ft, 30 ft, 60 ft
12 ft, 12 ft, 20 ft
3ft, 5 ft, 10 ft

Answers

None of the above. To form a standard triangle, all 3 sides must be of equal length.

how to solve the proof and the steps

Answers

Answer:

Step-by-step explanation:

Find the Circumference ddddddddddddddddddddddddddddd

Answers

Answer:

25.12

Step-by-step explanation:

C = π2r
C = 3.14*2*4
C = 25.12
Hope this helps :)

My neighbor has both chickens and roosters. He has a total of 31 birds. The number of chickens is ten more than twice the number of roosters. How many chickens does he have?

Answers

Answer:

24

Step-by-step explanation:

You can use a simple equation for this:

c=chickens, r=roosters

c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"

we can then do;

10+2r+r (the original number of roosters)=31

3r=21

r=7

BUT, WE'RE NOT LOOKING FOR ROOSTERS!

10+2r=24

Please I really need help!? NOW!! Will give brainest!!

Answers

Answer:

the figure is a rectangle with a side of trapezium

according to my calculation the answer is

196m²

explanation

Area of trapezium =½(10+8)×4=36

Area of rectangle =10×16=160

add=160+36

therefore the answer is 196m²

If f(x) = 5x^5 + 1, then what is the remainder when f(x) is divided by x + 1?

Answers

Answer:

2l

Step-by-step explanation:

hence.f10 divido 8-2

I need help with this

Answers

Answer:

You are correct with B!!

Step-by-step explanation:

(x⁹)²

We have to multiply 9 x 2, regardless of the parenthesis for this one.

9 × 2 is 18.

We cannot simply 18 further.

Carry the x in front of 18.

x¹⁸

Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))

Answers

Answer:

8

Step-by-step explanation:

You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?

Answers

Answer:12/13

Step-by-step explanation:12/13

Please help me on this
(Look at the Photo)

Answers

The answer is: -4/a^2 b^2

Which subtraction equation shows how to subtract
4
2
12

2
8
12
using equivalent fractions?
A.
42
12

28
12
B.
18
12

22
12
C.
50
12

32
12
D.
48
12

24
12

Answers

How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.

1.) 7x+8=29
2.) 6x+6=36
3.) 7+6x=19
how do you solve these problems?

Answers

Answer:

1.) x= 3

2.) x=5

3.) x=2

Step-by-step explanation:

1) 7x+8=29

( -8). 7x=21. (-8)

(÷7). x=3. (÷7)

2). 6x+6=36

6x=30. subtract 6

x=5. divide by 6

3). 7+6x=19

6x+7=19. rearrange it

6x=12. subtract 7

x=2. divide by 6

[tex] \huge\mathbb\red{ANSWER} [/tex]

[tex] \mathsf \purple{7x + 8 = 29}[/tex]

[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]

[tex] \mathsf \purple{7x = 21}[/tex]

[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]

[tex] \mathsf \purple{x = 3}[/tex]

[tex] \mathsf \red{6x + 6 = 36}[/tex]

[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]

[tex] \mathsf \red{6x = 30}[/tex]

[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]

[tex] \mathsf \red{x = 5}[/tex]

[tex] \mathsf \blue{7 + 6x = 19}[/tex]

[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]

[tex] \mathsf \blue{6x = 12}[/tex]

[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]

[tex] \mathsf \blue{x = 2}[/tex]

write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice

Answers

Answer:

Step-by-step explanation:

1/3 of the original

Step-by-step explanation:

one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size

hello, please answer the question, please show work

Answers

3/8 is bigger than 1/5

convert 36 inches to feet there are 12 inches in a foot
HELP ASAP PLEASE>:)

Answers

Answer:

3 feet

Step-by-step explanation:

Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare.

Answers

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)

An expression is shown below:

4ck2 + 10k2 − 16ck − 40k

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

✿————✦————✿————✦————✿

The answer is: 2(k2−4k)(2c+5)

✿————✦————✿————✦————✿

Step:

* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.

* Factor out the common term 2c+5 by using the distributive property.

* Rewrite the complete factored expression.

✿————✦————✿————✦————✿

Answer:

2(k2−4k)(2c+5)

Step-by-step explanation:

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